Optimal Convex Combination Bounds for Toader Mean
Shao-yun Li, Hui-zuo Xu & Fang Jin · Asian Research Journal of Mathematics · 2018
In this paper, the authors prove that the double inequalities hold for all a, b > 0 with if and only if α1 ≤ 1/2, β1 ≥ 3/5,α2 ≤ 1/3 and β2 ≥1/2.Here T(a, b),T [A(a, b), G(a, b)],H(a, b) and G(a, b) are the Toader, Toader-type, harmonic and geometric means of a and b , respecti...
Open access
Research Article
10.9734/ARJOM/2018/43093